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Finding the Third Proportional to 536,825,370,986 and 833,523,728,872

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Solution

The third proportional to 536,825,370,986 and 833,523,728,872 is: 1,294,204,492,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,825,370,986 : 833,523,728,872 = 833,523,728,872 : x
  2. Step 2: Convert to fraction form
    536,825,370,986/833,523,728,872 = 833,523,728,872/x
  3. Step 3: Cross multiply
    536,825,370,986x = 833,523,728,872 × 833,523,728,872
  4. Step 4: Simplify right side
    536,825,370,986x = 694,761,806,592,683,358,027,776
  5. Step 5: Solve for x
    x = 694,761,806,592,683,358,027,776/536,825,370,986
  6. Step 6: Final answer
    x = 1,294,204,492,080.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.